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Finding the Fourth Proportional to 209,782.80, 289,499.40 and 114,289.20

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Solution

The fourth proportional to 209,782.80, 289,499.40 and 114,289.20 is: 157,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,782.80 : 289,499.40 = 114,289.20 : x
  2. Step 2: Convert to fraction form
    209,782.80/289,499.40 = 114,289.20/x
  3. Step 3: Cross multiply
    209,782.80x = 289,499.40 × 114,289.20
  4. Step 4: Simplify right side
    209,782.80x = 33,086,654,826.48
  5. Step 5: Solve for x
    x = 33,086,654,826.48/209,782.80
  6. Step 6: Final answer
    x = 157,718.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.